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Finding the Fourth Proportional to 279.12, 416.22 and 259.64

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Solution

The fourth proportional to 279.12, 416.22 and 259.64 is: 387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.12 : 416.22 = 259.64 : x
  2. Step 2: Convert to fraction form
    279.12/416.22 = 259.64/x
  3. Step 3: Cross multiply
    279.12x = 416.22 × 259.64
  4. Step 4: Simplify right side
    279.12x = 108,066.23
  5. Step 5: Solve for x
    x = 108,066.23/279.12
  6. Step 6: Final answer
    x = 387.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.